Least Common Multiple (LCM) of 197 and 952
The least common multiple (LCM) of 197 and 952 is 187544.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 197 and 952?
First, calculate the GCD of 197 and 952 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 952 = 0 remainder 197 |
| 2 | 952 ÷ 197 = 4 remainder 164 |
| 3 | 197 ÷ 164 = 1 remainder 33 |
| 4 | 164 ÷ 33 = 4 remainder 32 |
| 5 | 33 ÷ 32 = 1 remainder 1 |
| 6 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 15 | 60 |
| 29 and 96 | 2784 |
| 166 and 117 | 19422 |
| 165 and 79 | 13035 |
| 78 and 75 | 1950 |